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Finding the Third Proportional to 140,156 and 215,436

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Solution

The third proportional to 140,156 and 215,436 is: 331,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,156 : 215,436 = 215,436 : x
  2. Step 2: Convert to fraction form
    140,156/215,436 = 215,436/x
  3. Step 3: Cross multiply
    140,156x = 215,436 × 215,436
  4. Step 4: Simplify right side
    140,156x = 46,412,670,096
  5. Step 5: Solve for x
    x = 46,412,670,096/140,156
  6. Step 6: Final answer
    x = 331,150.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.